Quantum dot (25 points total) a quantum dot is a small spherical particle (of e. g. cdse) that can trap electrons. for the purpose of describing the behavior of the electron, the quantum dot can be approximated as a three-dimensional spherical box, i. e. the electron is confined to the volume inside a sphere of radius r. the potential is v(r) = o for r r and v (r) = oo for r > r. (c) the function /(r) = n(r -r) with the normalization constant n = /15/(2tr5) is a reasonable approximation to the exact ground-state wavefunction. using /(r), estimate the ground-state energy (d) the exact ground-state energy is 2 mar2is this energy lower or higher than the one you obtained in (c)? briefly explain

Which of these is constant for all types of electromagnetic radiation in a vacuum? select one: a. wavelength b. frequency c. photon energy d. amplitude e. velocity

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Examples of states of consciousness include a. daydreaming b. dreaming during sleep c. hypnosis d. all of the above